FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA

REFERENCES

• Farnsteiner , R. 1990 . Extension Functors of Modular Lie Algebras . Math. Ann. , 288 : 713 – 730 .
   Web of Science ®Google Scholar
• Guangyu , S. 1986 . Graded Modules of Graded Lie Algebras of Cartan Type, (I)-mixed Product of Modules . Scientica Sinica (Ser. A) , 29 ( 6 ) : 570 – 581 .
   Google Scholar
• Guangyu , S. 1986 . Graded Modules of Graded Lie Algebras of Cartan Type, (II)-positive and Negative Modules . Scientica Sinica (Ser. A) , 29 ( 10 ) : 1009 – 1019 .
   Google Scholar
• Guangyu , S. 1988 . Graded Modules of Graded Lie Algebras of Cartan Type, (III)-irreducible Modules . Chin. Ann. Math. , 9 ( 4 ) : 404 – 417 .
   Web of Science ®Google Scholar
• Guangyu , S. 1981 . An Intrinsic Property of Lie Algebra . Chin. Ann. Math. , 2 : 105 – 115 .
   Google Scholar
• Holmes , R.R. 1992 . Simple Restricted Modules for the Restricted Contact Lie Algebras . Proc. Amer. Math. Soc. , 116 ( 2 ) : 329 – 337 .
   Web of Science ®Google Scholar
• Naihong , H. 1994 . The Graded Modules for the Graded Contact Cartan Algebras . Comm. In Algebra , 22 : 4475 – 4497 .
   Web of Science ®Google Scholar
• Naihong , H. 1994 . Irreducible Constituents of Graded Contact Lie Algebras of Cartan Type . Comm. in Algebra , 22 : 5951 – 5971 .
   Web of Science ®Google Scholar
• Ning , J. 1992 . Ad-nilpotent, Quasi-nilpotent Elements and Invariant Filtrations of Infinite Lie Algebras of Cartan Type . Scientica Sinica (Ser. A) , 7 : 697 – 704 . (in Chinese)
   Google Scholar
• Kac , V.G. 1974 . Description of Filtered Lie Algebras with Which Graded Lie Algebras of Cartan Type are Associated . Math. USSR-Izv , 8 : 801 – 835 .
   Google Scholar
• Kac , V.G. 1977 . Lie Superalgebras . Advances in Math. , 26 : 8 – 96 .
   Web of Science ®Google Scholar
• Kac , V.G. 1977 . Representation of Classical Lie Superalgebras . Lecture Notes in Math , 29 ( 6 ) : 579 – 626 . Berlin
   Google Scholar
• Qingyun , F. 1989 . On New Simple Lie Algebras of Shen Guangyn . Chin. Ann. Math. , 10 ( 4 ) : 448 – 457 .
   Web of Science ®Google Scholar
• Scheunert , M. 1979 . “ Lecture Notes in Math. ” . In Theory of Lie Superalgebras 716 Springer-Verlag .
   Google Scholar
• Strade , H. and Farnsteiner , R. 1988 . Modular Lie Algebras and their Representations 116 New York : Textbooks and Monographs Dekker .
   Google Scholar
• Wilson , R.L. 1971 . Classification of Generalized Witt Algebras over Algebraically Closed Fields . Trans. Amer. Math. Soc. , 153 : 191 – 210 .
   Web of Science ®Google Scholar
• Wilson , L. 1976 . Astructural Characterization of the Simple Lie Algebras of Generalized Cartan Type over Primecharacteristic . J. Algebra , 40 : 418 – 465 .
   Web of Science ®Google Scholar
• Ying, W. Modular Lie Superalgebras and Their Representations. Doctoral Thesis of Harbin Institute of Technology (China), 2000; U. D. C. 512. 66
   Google Scholar
• Yongzheng , Z. 1995 . Graded Modules of Z-graded Liesuperalgebras W(n) and S(n) of Cartan Type . Chinese Science Bulletin , 40 ( 20 ) : 1829 – 1832 . (in Chinese)
   Google Scholar
• Yongzheng , Z. 1996 . Z-graded Module of Lie Superalgebra H(n) of Cartan Type . Chinese Science Bulletin , 41 ( 10 ) : 813 – 817 .
   Google Scholar
• Yongzheng , Z. 1997 . Finite-dimensional Lie Superalgebras of Cartan Type over Fields of Prime Characteristic . Chinese Science Bulletin , 42 ( 9 ) : 720 – 724 .
   Google Scholar
• Yongzheng , Z. and Jizhu , N. 1998 . Finite-dimensional Liesuperalgebras and of Cartan Type . Advances in Math (China) , 27 ( 3 ) : 240 – 246 .
   Google Scholar